Model theory of Galois actions of torsion Abelian groups

Özlem Beyarslan; Piotr Kowalski

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arXiv · 2003.02329

Model theory of Galois actions of torsion Abelian groups

Özlem Beyarslan·Piotr Kowalski

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Abstract

We show that the theory of Galois actions of a torsion Abelian group $A$ is companionable if and only if for each prime $p$, the $p$-primary part of $A$ is either finite or it coincides with the Pr\"{u}fer $p$-group. We also provide a model-theoretic description of the model companions we obtain.

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BibTeX RIS

Özlem Beyarslan, Piotr Kowalski. 2020-03-04. Model theory of Galois actions of torsion Abelian groups. https://arxiv.org/abs/2003.02329

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